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Let P(A) = 0.3 and P(B) = 0.6.(a) Find P(A ? B) when A and
Chapter 1, Problem 2E(choose chapter or problem)
QUESTION:
PROBLEM 2E
Let P(A) = 0.3 and P(B) = 0.6.
(a) Find P(A ∪ B) when A and B are independent.
(b) Find P(A|B) when A and B are mutually exclusive.
Questions & Answers
QUESTION:
PROBLEM 2E
Let P(A) = 0.3 and P(B) = 0.6.
(a) Find P(A ∪ B) when A and B are independent.
(b) Find P(A|B) when A and B are mutually exclusive.
ANSWER:
Solution 2E
Step1 of 3:
We have,
P(A) = 0.3 and
P(B) = 0.6
We need to find,
a).P(AB) when A and B are independent.
b).P(A/B) when A and B are mutually Exclusive.
Step2 of 3:
a).
P(AB) can be calculated by using the formula P(AB) = P(A) + P(B) - P(AB)
Where,
P(AB) = P(A)P(B) [because we know that A and B are independent]